Dimension Calculation Uncertainties in Queuing Models

Abstract

In order to conduct traffic quality assessments, queuing models are used for estimating delays and queue lengths. By applying the formulas in existing highway capacity manuals a dimension inconsistence of parameters is determined. This inconsistence of dimension calculations leads to incorrect calculation results if traffic flow volumes are converted from the unit veh/h into the unit pcu/h. Such unit conversion can directly affect the calculation results of delays and queue lengths. Thus, it can also affect the estimated traffic qualities. This problem is addressed and clarified with some examples. It turns out that the queuing models used in traffic engineering are basically correct. But for applications of those models certain preconditions have to be carefully taken into account.

Original document

The different versions of the original document can be found in:

• http://pdfs.semanticscholar.org/84db/da5078b33f2d9b494c8aa2d875865d7156dd.pdf

• http://ascelibrary.org/doi/pdf/10.1061/40996%28330%29693,

http://dx.doi.org/10.1061/40996(330)693

• https://homepage.ruhr-uni-bochum.de/Ning.Wu/pdf/DIMENSION%20CALCULATION%20UNCERTAINTIES%20IN%20QUEUING%20MODELS.pdf,

https://ascelibrary.org/doi/10.1061/40996%28330%29693,

https://academic.microsoft.com/#/detail/2314285498